This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    int n, q; cin>>n>>q;
    int d[n + 1];
    for (int i = 1; i <= n; i++){
        cin>>d[i];
    }
    int k[n + 1];
    k[0] = 0; k[1] = d[1];
    for (int i = 2; i <= n; i++){
        k[i] = ceil(1.0 * d[i] / k[i - 1]) * k[i - 1];
    }
    
    int all[n + 1], S = 0;
    for (int i = 1; i <= n; i++){
        if (k[i] != k[i - 1]){
            all[++S] = i;
        }
    }
    all[++S] = n + 1;
    
    while (q--){
        int t, l, r, L, R; cin>>t>>l>>r;
        int out = (l <= t && t <= r), p = t - 1;
        for (int i = 1; i + 1 <= S; i++){
            L = all[i]; R = all[i + 1] - 1;
            int f = (p + L) / k[L], l1 = max(l, f * k[L] - R), r1 = min(r, f * k[L] - L);
            out += max(0, (r1 - l1 + 1));
            p = (f * k[L] - R) - 1;
        }
        cout<<out<<"\n";
    }
}
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